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Answer:
12.29 cm
Step-by-step explanation:
You want the length of the side marked x in the triangle shown.
The sides of interest in the triangle are the hypotenuse and the side adjacent to the marked angle. This means the relevant trig function is ...
Cos = Adjacent/Hypotenuse
cos(35°) = x/(15 cm)
The value of x is given by multiplying this equation by (15 cm):
(15 cm)·cos(35°) = x
x = 12.29 cm